Fang Liu1, Alexey Samsonov1, Wally Block2, and Richard Kijowski1
1Department of Radiology, University of Wisconsin-Madison, Madison, WI, United States, 2Department of Medical Physics, University of Wisconsin-Madison, Madison, WI, United States
Synopsis
Nuclear
magnetic resonance studies have identified multiple water components within
cartilage tissue. Previous studies using steady-state sequences based rapid method
such as mcDESPOT and mcRISE have shown feasibility of multicomponent T2
analysis of cartilage. However, steady-state signal can be influenced by the
finite pulse effect which might lead to biased parameter estimation. In this
study, we incorporated the finite pulse correction in the mcRISE model and demonstrated
the potential MT and finite pulse effect in-sensitive T2 parameters for multicomponent
cartilage relaxometry analysis.Introduction
Previous
study using rapid T2 mapping techniques such as mcDESPOT have shown the
feasibility of multi-component T2 analysis of human knee joint (1,2). A modified mcDESPOT
termed as mcRISE was also proposed to correct the signal derivation raised by
the magnetization transfer (MT) (3). Both of those techniques
take advantages of steady-state sequences for rapid acquisition. However,
recent studies have shown the steady-state signal could be affected by the
finite pulse effect (4,5). Without proper modeling,
the finite pulse effect may bias relaxation parameter estimation (4,5). In this study, we
incorporated the finite pulse correction in the mcRISE model and compared it
with original mcDESPOT and mcRISE without correction. The modified mcRISE model
may provide both MT and finite pulse effect in-sensitive T2 parameters which
can increase the robustness and accuracy for multicomponent cartilage relaxometry
analysis.
Theory
A bi-component mcDESPOT
model is typically applied to characterize the fast (F) and slowly (S) relaxing
water components. The mcRISE model introduces an extra macromolecule bound proton
component through MT. The multicomponent T2 parameters can be obtained by
fitting the model with spoiled gradient echo (SPGR) and balanced steady-state
free precession (bSSFP) signals at varying flip angle (i.e. mcDESPOT) and at varying
RF width (T
RF) (i.e.
mcRISE). However, the assumption of instantaneous RF pulses may not be
appropriate in the scenario of long RF pulse at short repetition time (TR) where the RF pulse could be around
30% of entire TR. A finite pulse
correction can be performed by modification of the transverse relaxation
dependent on the ratio of RF pulse width and repetition time as described as (4,6) $$$T_{2corr}=T_{2}(1-\xi\frac{T_{RF}}{TR})^{-1}$$$ where $$$\xi=0.68-0.125(1+\frac{T_{RF}}{TR})\frac{T_{2}}{T_{1}}.$$$ An incremental
fitting approach is applied to fit for the parameters of mcRISE model. The bound
pool fraction
f and exchange rate
k are first derived using varying RF
pulse width bSSFP (bSSFPv) in a simplified two-pool model. Then,
f and
k as fixed parameters are applied in the full model to correct MT
effect for
T2S,
T2F and fast water fraction
fF (Figure 1). To correct the
finite pulse effect, the apparent T2 transverse time in model equations is substituted
with the modified T2 for each image voxel at both simplified and full model
fit.
Methods
A knee scan was performed on a healthy
adult using a GE MR750 3.0T
scanner. The imaging parameters included: 1) SPGR scans with TR/TE=4.6/2.2ms over 8 flip angles from 3° to 18°); 2) Two bSSFP scans with RF phase cycling on (bSSFP
180)
and off (bSSFP
0), with TR/TE=5.0/2.4ms over 8 flip angles from 2° to
50°); 3) One bSSFPv scans over a range of 8 RF pulse width from T
RF/TR=0.2/5.6ms
to 2/6.5ms and α=35°. 4) Inversion recovery SPGR scan with TR/TE=4.6/2.2ms,
TI=450ms, and α=5°. All scans were performed in the sagittal plane with a 16cm
field of view, 256×256 matrix, 3mm thickness. The full set of image data was
applied to mcRISE model fit with and without finite pulse correction. A subset
of image data excluding bSSFPv was applied to the mcDEPOT model fit.
Relaxometry parameters including
T2,
T2F,
T2S,
fF,
f and
k are compared across different methods.
Results/Discussion
mcRISE was able to create T2 and water fraction maps for the both fast and slow
relaxing water components and
f and
k maps of the entire knee joint at 3.0T
(Figure 2). As shown in our previous
studies, mcRISE provides higher single component
T2,
T2F,
T2S and lower
fF values compared to values
obtained from mcDESPOT (Table 1)(3). The mcDESPOT parameters are strongly influenced by
the MT exchange, correcting which can provide MT in-sensitive multicomponent T2
parameters analysis. The finite pulse effect has a non-negligible influence on
the steady-state sequences. The
T2,
f and
k are lower in the mcRISE after finite pulse correction which
agrees well with previous studies using finite pulse correction in the brain
imaging (7). In addition, the
T2F
and
T2S have lower values
in the mcRISE after finite pulse correction, while the fast water faction
fF shows an increased value
after correction. This in-vivo finding corresponds well with our simulation
data (not shown). Due to the fact that the finite pulse and MT effect could
influence multi-component T2 parameters in a rather complex way, this proposed
combined finite pulse and MT correction may provide more robust and accurate relaxometry
analysis of articular cartilage. However,
there is need for further studies in human subjects and ex-vivo studies on
cartilage specimens with histologic correlation to determine the sensitivity
and specificity of these new parameters to disease-related changes in the
cartilage matrix.
Acknowledgements
The work was
supported by NIH R01NS065034, NIH R01 AR068373-01, and GE Healthcare.References
1. Liu F, Choi KW, Samsonov A, Spencer RG, Wilson JJ, Block WF, Kijowski R. Articular Cartilage of the Human Knee Joint: In Vivo Multicomponent T2 Analysis at 3.0 T. Radiology 2015:142201.
2. Liu F, Chaudhary R, Hurley SA, Munoz Del Rio A, Alexander AL, Samsonov A, Block WF, Kijowski R. Rapid multicomponent T2 analysis of the articular cartilage of the human knee joint at 3.0T. J Magn Reson Imaging 2014;39(5):1191-1197.
3. Liu F, Block WF, Kijowski R, Samsonov A. Rapid multicomponent relaxometry in steady state with correction of magnetization transfer effects. Magn Reson Med 2015.
4. Bieri O, Scheffler K. SSFP signal with finite RF pulses. Magn Reson Med 2009;62(5):1232-1241.
5. Crooijmans HJ, Scheffler K, Bieri O. Finite RF pulse correction on DESPOT2. Magn Reson Med 2011;65(3):858-862.
6. Zhang J, Kolind SH, Laule C, MacKay AL. How does magnetization transfer influence mcDESPOT results? Magn Reson Med 2014.
7. Gloor M, Scheffler K, Bieri O. Finite RF Pulse Effects on Quantitative Magnetization Transfer Imaging Using Balanced SSFP. Proc Intl Soc Mag Reson Med. Sweden, Stockholm 2010, abstract 5143.